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Finding the Fourth Proportional to 488.69, 731.85 and 385.71

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Solution

The fourth proportional to 488.69, 731.85 and 385.71 is: 577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.69 : 731.85 = 385.71 : x
  2. Step 2: Convert to fraction form
    488.69/731.85 = 385.71/x
  3. Step 3: Cross multiply
    488.69x = 731.85 × 385.71
  4. Step 4: Simplify right side
    488.69x = 282,281.86
  5. Step 5: Solve for x
    x = 282,281.86/488.69
  6. Step 6: Final answer
    x = 577.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.